54438400 has 60 divisors (see below), whose sum is σ = 134907102. Its totient is φ = 21770240.

The previous prime is 54438383. The next prime is 54438407. The reversal of 54438400 is 483445.

It can be written as a sum of positive squares in 3 ways, for example, as 28387584 + 26050816 = 5328^2 + 5104^2 .

It is not an unprimeable number, because it can be changed into a prime (54438407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10674 + ... + 14926.

Almost surely, 2^54438400 is an apocalyptic number.

54438400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67453551).

54438400 is an abundant number, since it is smaller than the sum of its proper divisors (80468702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54438400 is an equidigital number, since it uses as much as digits as its factorization.

54438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 54438400 is about 7378.2382721081. The cubic root of 54438400 is about 378.9964285626.

The spelling of 54438400 in words is "fifty-four million, four hundred thirty-eight thousand, four hundred".